Remainder and Factor Theorem and Finding Zeros

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Find all the zeros of the polynomial. 

• A

• B

• C

• D

Find the zeros of the polynomial.

• A

• B

• C

• D

Consider the polynomial function: P(x)=x⁴+18x³+a²-65x+63 where a is an unknown real number.  If (x+9) is a factor of this polynomial, what is the value of a?

• 21

• 73

• 63

• -31

Suppose p(x)=x³-2x²-33+k and that (x-6) is a factor. What is the value of k?

• -54

• -33

• 33

• 54

Suppose p(x)=x³+16x²+56x+k and that (x+9) is a factor. What is the value of k?

• 63

• -63

• 81

• -81

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Let p(n)=n³+2n²-23n+k. If you divide p(n) by (n+6), the remainder is -1. What is the remainder if you divide p(n) by (n-5)?

• 65

• 1

• 12

• 55

What is the ZERO of a polynomial

• 0

• polynomial multiplied by 0

• p(x)=0

• polynomial's answer is o

find zeros of 3x^2-1 if x=